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Simplifying 5(12 + -3w) + 25 = 2w (12 * 5 + -3w * 5) + 25 = 2w (60 + -15w) + 25 = 2w Reorder the terms: 60 + 25 + -15w = 2w Combine like terms: 60 + 25 = 85 85 + -15w = 2w Solving 85 + -15w = 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. 85 + -15w + -2w = 2w + -2w Combine like terms: -15w + -2w = -17w 85 + -17w = 2w + -2w Combine like terms: 2w + -2w = 0 85 + -17w = 0 Add '-85' to each side of the equation. 85 + -85 + -17w = 0 + -85 Combine like terms: 85 + -85 = 0 0 + -17w = 0 + -85 -17w = 0 + -85 Combine like terms: 0 + -85 = -85 -17w = -85 Divide each side by '-17'. w = 5 Simplifying w = 5
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